Solving Inequalities

Solving Inequalities

We solve inequalities, just like regular algebraic expressions with equal signs (=).

Just pretend the inequality is an equal sign!!!

Example

5x + 10 3x + 12

Special Negative Rule:If you multiply or divide by a negative, you

must flip the inequality symbol.

For example:-3w < 6 + 3w

Example

8x + 12 28 + 16x

Let’s Practice…Solve and graph each inequality.1. t + 10 > 4 + 3t 2. - 6m ≤ 150

Let’s Practice…Solve and graph each inequality.3. 4(p + 2) - 10 > 14 + 3p 4. 10 – 7x

Let’s Practice…The unit cost for a piece of fabric is $4.99 per yard. You have $30 to spend on material. How many feet of material could you buy? Write an inequality to model this situation and then solve.